What is the fewest number of coins you would need in order to make change for any amount of money between one cent and one dollar?

What is the fewest number of coins you would need in order to make change for any amount of money between one cent and one dollar?

You need at least 1 nickel, since you want to get 5 as a change. It isn’t optimal to have more than 1 nickel. Instead of 1+x nickels, you can have 1 nickel and x dimes – they span at least the same range. So you have exactly 1 nickel.

How many coins do I need?

Number of Coins in a Standard Roll

Denomination Number of Coins Face Value
Nickel or 5 Cents 40 $2.00
Dime or 10 Cents 50 $5.00
Quarter or 25 Cents 40 $10.00
Half-Dollar or 50 Cents 20 $10.00
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How do you get exact change?

Making exact change allows you to discard multiple cards that add up to the value of the last card played. If the last card played shows a quarter, you can make exact change by playing two dimes and a nickel… Allowing you to discard three cards in one play!

How do you find the minimum amount of coins?

Algorithm:

  1. Sort the array of coins in decreasing order.
  2. Initialize result as empty.
  3. Find the largest denomination that is smaller than current amount.
  4. Add found denomination to result. Subtract value of found denomination from amount.
  5. If amount becomes 0, then print result.
  6. Else repeat steps 3 and 4 for new value of V.

How many quarters is $10?

40 quarters
There are 40 quarters in 10$. In order to know how many quarters there are in one dollar, you need to know that one quarter is equal to 0.25$.

What is the least number of coins?

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So 3 quarters, 1 dime, 2 nickels and 5 pennies. 11 coins is the fewest.

What does exact change mean?

To have exact change means to have the exact cost of the item. In the United States, buses require people riding the bus to have exact change. The bus does not give money back. They must pay exactly what the cost is, they can not pay more.

What is the minimum number?

The minimum is the first number listed as it is the lowest, and the maximum is the last number listed because it is the highest.

How will you find the minimum number of coins in change making problem?

Assume that we are given a set of coins having the values {1, 3, 6}. To make a sum of 7 using these coins, all possible solutions are: {1,1,1,1,1,1,1}, {1,3,3}, and {1,6}. So the minimum number of coins required are 2, i.e. {1,6}.